## anonymous 3 years ago Is taking the derivative of e^x technically using the exponential rule?

1. anonymous

derivative of e^x is e^x, it doesnt change not power rule if thats what you mean

2. anonymous

I know what the derivative of e^x is, that's not what I asked.

3. anonymous

theres no such thing as an exponetial rule btw

4. anonymous
5. anonymous

that link shows derivatives of exponential functions there is no rule for it, all you need to know about derivatives of e^x is e^x or if your talk about functions like 2^x then you need to log the function so you could bring down the x and take derivative of it

6. anonymous

would you agree that $d/dx(2^x) = 2^xln(2)$

7. anonymous

@jayz657

8. anonymous

yea doing derivatives of y= 2^x is different from e^x since you dont need to do logs for e^x ln(y) = xln(2) 1/y dy/dx = ln(2) dy/dx = yln(2) y' = 2^x ln(2)

9. AccessDenied

Yes, this is just a specific case for the exponential rule: $$\large \frac{d}{dx}(e^x) = e^x \ln e = e^x * 1 = e^x$$

10. anonymous

Thank you @AccessDenied

11. AccessDenied

You're welcome. :)